2(2-3x)-x+3=3(x-4)

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Solution for 2(2-3x)-x+3=3(x-4) equation:


Simplifying
2(2 + -3x) + -1x + 3 = 3(x + -4)
(2 * 2 + -3x * 2) + -1x + 3 = 3(x + -4)
(4 + -6x) + -1x + 3 = 3(x + -4)

Reorder the terms:
4 + 3 + -6x + -1x = 3(x + -4)

Combine like terms: 4 + 3 = 7
7 + -6x + -1x = 3(x + -4)

Combine like terms: -6x + -1x = -7x
7 + -7x = 3(x + -4)

Reorder the terms:
7 + -7x = 3(-4 + x)
7 + -7x = (-4 * 3 + x * 3)
7 + -7x = (-12 + 3x)

Solving
7 + -7x = -12 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
7 + -7x + -3x = -12 + 3x + -3x

Combine like terms: -7x + -3x = -10x
7 + -10x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
7 + -10x = -12 + 0
7 + -10x = -12

Add '-7' to each side of the equation.
7 + -7 + -10x = -12 + -7

Combine like terms: 7 + -7 = 0
0 + -10x = -12 + -7
-10x = -12 + -7

Combine like terms: -12 + -7 = -19
-10x = -19

Divide each side by '-10'.
x = 1.9

Simplifying
x = 1.9

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